Encyclopedia of Crystallographic Prototypes

AFLOW Prototype: AB_tI4_107_a_a-001

This structure originally had the label AB_tI4_107_a_a. Calls to that address will be redirected here.

If you are using this page, please cite:
D. Hicks, M. J. Mehl, E. Gossett, C. Toher, O. Levy, R. M. Hanson, G. L. W. Hart, and S. Curtarolo, The AFLOW Library of Crystallographic Prototypes: Part 2, Comp. Mat. Sci. 161, S1-S1011 (2019). (doi=10.1016/j.commatsci.2018.10.043)

Links to this page

https://aflow.org/p/B4LQ
or https://aflow.org/p/AB_tI4_107_a_a-001
or PDF Version

GeP (High-pressure, superconducting) Structure: AB_tI4_107_a_a-001

Picture of Structure; Click for Big Picture
Prototype GeP
AFLOW prototype label AB_tI4_107_a_a-001
ICSD 17032
Pearson symbol tI4
Space group number 107
Space group symbol $I4mm$
AFLOW prototype command aflow --proto=AB_tI4_107_a_a-001
--params=$a, \allowbreak c/a, \allowbreak z_{1}, \allowbreak z_{2}$

Other compounds with this structure

GeAs,  PdSn


  • We use the (Donohue, 1970) data taken at 700°C and 45 kB.
  • Space group $I4mm$ #107 allows an arbitrary placement of the origin of the $z$-axis. Here we set $z_{1} = 0$ for the germanium atoms.

\[ \begin{array}{ccc} \mathbf{a_{1}}&=&- \frac{1}{2}a \,\mathbf{\hat{x}}+\frac{1}{2}a \,\mathbf{\hat{y}}+\frac{1}{2}c \,\mathbf{\hat{z}}\\\mathbf{a_{2}}&=&\frac{1}{2}a \,\mathbf{\hat{x}}- \frac{1}{2}a \,\mathbf{\hat{y}}+\frac{1}{2}c \,\mathbf{\hat{z}}\\\mathbf{a_{3}}&=&\frac{1}{2}a \,\mathbf{\hat{x}}+\frac{1}{2}a \,\mathbf{\hat{y}}- \frac{1}{2}c \,\mathbf{\hat{z}} \end{array}\]

Basis vectors

Lattice coordinates Cartesian coordinates Wyckoff position Atom type
$\mathbf{B_{1}}$ = $z_{1} \, \mathbf{a}_{1}+z_{1} \, \mathbf{a}_{2}$ = $c z_{1} \,\mathbf{\hat{z}}$ (2a) Ge I
$\mathbf{B_{2}}$ = $z_{2} \, \mathbf{a}_{1}+z_{2} \, \mathbf{a}_{2}$ = $c z_{2} \,\mathbf{\hat{z}}$ (2a) P I

References

  • P. C. Donohue and H. S. Young, Synthesis, structure, and superconductivity of new high pressure phases in the systems Ge–P and Ge–s, J. Solid State Chem. 1, 143–149 (1970), doi:10.1016/0022-4596(70)90005-8.

Found in

  • P. Villars and K. Cenzual, Pearson's Crystal Data – Crystal Structure Database for Inorganic Compounds (2013). ASM International.

Prototype Generator

aflow --proto=AB_tI4_107_a_a --params=$a,c/a,z_{1},z_{2}$

Species:

Running:

Output: